کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1709313 | 1012849 | 2012 | 4 صفحه PDF | دانلود رایگان |

In 2005, Carlsson, Fullér and Majlender introduced a measure of possibilistic correlation of fuzzy numbers AA and BB by their joint possibility distribution CC as an average degree of interaction between the γγ-level sets of AA and BB as compared to their individual dispersions. They proved that this possibilistic correlation coefficient can never exceed 11 in absolute value, if all γγ-level sets of the joint possibility distribution CC are convex.In this communication, we shall formulate a special class of joint possibility distributions with non-convex γγ-level sets, for which the correlation coefficient can take values outside the interval [−1,1][−1,1]. In particular, this result will show that the assumption about the convexity of the level sets of CC is essential for the possibilistic correlation to be bounded by the interval [−1,1][−1,1].
Journal: Applied Mathematics Letters - Volume 25, Issue 4, April 2012, Pages 672–675